10013633172765 has 64 divisors (see below), whose sum is σ = 18094897209600. Its totient is φ = 5252749689600.

The previous prime is 10013633172731. The next prime is 10013633172779. The reversal of 10013633172765 is 56727133631001.

10013633172765 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 63 + 317 + 276 + 5 = 666.

10013633172765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013633172765 - 2⁷ = 10013633172637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10013633172765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252473506 + ... + 252513164.

It is an arithmetic number, because the mean of its divisors is an integer number (282732768900).

Almost surely, 2^{10013633172765} is an apocalyptic number.

10013633172765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10013633172765 is a deficient number, since it is larger than the sum of its proper divisors (8081264036835).

10013633172765 is a wasteful number, since it uses less digits than its factorization.

10013633172765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70395 (or 70389 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 10013633172765 in words is "ten trillion, thirteen billion, six hundred thirty-three million, one hundred seventy-two thousand, seven hundred sixty-five".